Stability and control of power grids have not only been investigated by
engineers [1]}, [2]}, where rotor angle and voltage
stability play an important role, but attracted also attention in the
physics community. By generalizing the swing equation
[1]}, [2]} of a synchronous machine to small networks by
using the well studied Kuramoto model [5]}, [6]},
Filatrella, Nielsen and Pedersen [7]} stimulated many
studies in this field. In [8]} the synchronization of this
dynamical model on the topology of the power grid of the United Kingdom
(UK) is investigated. While [9]}, [10]} analyzed this
Kuramoto-like model with respect to its application for power grids,
in [11]}, [12]} synchrony optimized networks with
Kuramoto oscillators were constructed.
More generally, synchronization of oscillators
with spectral methods was put under scrutiny in
[13]}, [14]}, [15]}.
